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Eve and Julian are making their own pizzas. Eve's crust weighs 1818 ounces, and Julian's crust weighs 1212 ounces. After Eve adds 44 spoonfuls of tomato sauce to her pizza and Julian adds 88 spoonfuls to his, the two pizzas weigh the same.\newlineWhich equation can you use to find ww, the weight of a spoonful of tomato sauce in ounces?\newlineChoices:\newline(A) 18+4w=12+8w18 + 4w = 12 + 8w\newline(B) 18+4w=12w+818 + 4w = 12w + 8\newlineHow much does a spoonful of tomato sauce weigh?\newlineSimplify any fractions.\newline____ ounces

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Q. Eve and Julian are making their own pizzas. Eve's crust weighs 1818 ounces, and Julian's crust weighs 1212 ounces. After Eve adds 44 spoonfuls of tomato sauce to her pizza and Julian adds 88 spoonfuls to his, the two pizzas weigh the same.\newlineWhich equation can you use to find ww, the weight of a spoonful of tomato sauce in ounces?\newlineChoices:\newline(A) 18+4w=12+8w18 + 4w = 12 + 8w\newline(B) 18+4w=12w+818 + 4w = 12w + 8\newlineHow much does a spoonful of tomato sauce weigh?\newlineSimplify any fractions.\newline____ ounces
  1. Set up equation: Set up the equation based on the information given.\newlineEve's pizza weight after adding tomato sauce = Eve's crust weight + (number of spoonfuls ×\times weight of each spoonful)\newlineJulian's pizza weight after adding tomato sauce = Julian's crust weight + (number of spoonfuls ×\times weight of each spoonful)\newlineSince the two pizzas weigh the same after adding the tomato sauce, we can set the two expressions equal to each other to find the weight of a spoonful of tomato sauce (ww).
  2. Write equation: Write the equation using the variables and information provided.\newline18+4w=12+8w18 + 4w = 12 + 8w\newlineThis equation represents the weight of Eve's pizza with the sauce (left side) being equal to the weight of Julian's pizza with the sauce (right side).
  3. Solve for w: Solve the equation for w.\newlineSubtract 4w4w from both sides to get the ww terms on one side:\newline18=12+4w18 = 12 + 4w\newlineSubtract 1212 from both sides to isolate the ww terms:\newline6=4w6 = 4w\newlineDivide both sides by 44 to solve for ww:\newlinew=64w = \frac{6}{4}
  4. Simplify fraction: Simplify the fraction to find the weight of a spoonful of tomato sauce. \newlinew=64w = \frac{6}{4}\newlinew=32w = \frac{3}{2}\newlinew=1.5w = 1.5\newlineSo, a spoonful of tomato sauce weighs 1.51.5 ounces.

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